展开 (m^3-n^3)^2

解答

展开

(m^{3} - n^{3})^{2}

m^{6} - 2 m^{3} n^{3} + n^{6}

求解步骤

(m^{3} - n^{3})^{2}

使用完全平方公式:

(a - b)^{2} = a^{2} - 2 ab + b^{2}

(m^{3} - n^{3})^{2} = (m^{3})^{2} - 2 m^{3} n^{3} + (n^{3})^{2}

= (m^{3})^{2} - 2 m^{3} n^{3} + (n^{3})^{2}

化简

(m^{3})^{2} - 2 m^{3} n^{3} + (n^{3})^{2} : m^{6} - 2 m^{3} n^{3} + n^{6}

= m^{6} - 2 m^{3} n^{3} + n^{6}

s im pl i f y 23 \cdot 3

s im pl i f y - 2 sin (x) cos (x)

s im pl i f y \frac{2}{10}

e x p an d (14 x^{3} + 3) (14 x^{3} - 3)

s im pl i f y 3^{2} + (- 2)^{2}